105964165291 has 2 divisors, whose sum is σ = 105964165292. Its totient is φ = 105964165290.

The previous prime is 105964165271. The next prime is 105964165297. The reversal of 105964165291 is 192561469501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105964165291 - 2¹¹ = 105964163243 is a prime.

It is a super-2 number, since 2×105964165291² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105964165297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52982082645 + 52982082646.

It is an arithmetic number, because the mean of its divisors is an integer number (52982082646).

Almost surely, 2^105964165291 is an apocalyptic number.

105964165291 is a deficient number, since it is larger than the sum of its proper divisors (1).

105964165291 is an equidigital number, since it uses as much as digits as its factorization.

105964165291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 105964165291 in words is "one hundred five billion, nine hundred sixty-four million, one hundred sixty-five thousand, two hundred ninety-one".